Home
Class 14
MATHS
If n is a whole number greater than 1, t...

If n is a whole number greater than 1, then `n^2(n^2-1)` is always divisible by 8 (b) 10 (c) 12 (d) 16

A

16

B

12

C

10

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEM

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise MULTIPLE CHOICE QUESTIONS |225 Videos

  • MOCK TEST II

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise MCQ|100 Videos

  • PARTNERSHIP

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise Questions|26 Videos

Similar Questions

Explore conceptually related problems

If n is an odd number greater than 1, then n(n^(2)-1) is

If p is a prime number greater than 3, then (p^(2)-1) is always divisible by (a) 6 but not 12 (b) 12 but not 24(c)24 (d) None of these

n ( n+1) ( n+2) is always divisible by ?

5^(n)-1 is always divisible by (n in N)

n being any odd number greater than 1n^(65)-n backslash is always divisible by 5 (b) 13 (c) 24 (d) None of these

If n is any odd number greater than 1, then n backslash(n^(2)-1) is divisible by 24 always (b) divisible by 48 always (c) divisible by 96 always (d) None of these

If n is natural number (greater than one) then (392)^n - (392)^(n -1) is not divisible by :

ADVANCED MATHS BY ABHINAY MATHS ENGLISH-NUMBER SYSTEM -MULTIPLE CHOICE QUESTIONS
  1. If m and n are +ve integers and ( m-n) is an even number , then (m^(...

    Text Solution

    |

  2. If n is an integer, then (n^(3) - n) is always divisible by :

    Text Solution

    |

  3. If n is a whole number greater than 1, then n^2(n^2-1) is always divis...

    Text Solution

    |

  4. The largest number that exactly divides each number of the form n^3 - ...

    Text Solution

    |

  5. Find the largest number, which exactly divides every number of the fro...

    Text Solution

    |

  6. (4^(61)+4^(62)+4^(63)+4^(64)) is divisible by 3 (b) 11 (c) 13 (d) ...

    Text Solution

    |

  7. (3^(25)+3^(26)+3^(27)+3^(28)) is divisible by 11 (b) 16 (c) 25 (d)...

    Text Solution

    |

  8. Which one of the following will completely divide 5^(71) + 5^(72) + 5...

    Text Solution

    |

  9. 2^16 -1 is divisible by

    Text Solution

    |

  10. The expression 2^(6n) - 4^(2n), where n is a natural number is alway...

    Text Solution

    |

  11. (4^(61) + 4^(62) + 4^(63)) is divisible by

    Text Solution

    |

  12. The greatest common divisor of 3^(3^333) + 1and 3^(3^334) + 1 is :

    Text Solution

    |

  13. The numbers of integers in between 100 and 600 which and divisible by ...

    Text Solution

    |

  14. How many natural numbers divisible by 7 are there between 3 and 200?

    Text Solution

    |

  15. The sum of all natural numbers between 100 and 200, which are multiple...

    Text Solution

    |

  16. The sum of all the 3-digit numbers, each of which on division by 5 lea...

    Text Solution

    |

  17. The total number of integers between 100 and 200, which are divisible ...

    Text Solution

    |

  18. How many numbers between 1000 and 5000 are exactly divisible by 225 ?

    Text Solution

    |

  19. If 5432*7 is divisible by 9, then the digit in place of * is

    Text Solution

    |

  20. If the number 4 8 3 0 7 * 8 is divisible by divisible by 11, then the ...

    Text Solution

    |